| Stein流形上具有非光滑边界强拟凸域上含参数Э-方程的一致估计 |
| |
| 引用本文： | 陈特清,徐金平.Stein流形上具有非光滑边界强拟凸域上含参数Э-方程的一致估计[J].泉州师范学院学报,2014(6):79-85. |
| |
| 作者姓名： | 陈特清 徐金平 |
| |
| 作者单位： | 闽南理工学院 信息管理系,福建 石狮,362700 |
| |
| 基金项目： | 福建省中青年教师教育科研资助项目 |
| |
| 摘 要： | 利用 Range和 Siu的方法，给出了 Stein流形上具有非光滑边界强拟凸域上含参数m的Эg＝f的解的一致估计，其特点是所求解g的范数能被f的范数所控制，由于在整个估计的过程中不含边界积分，可以避免边界积分的复杂估计，并且积分密度不必定义在边界上，而只需定义在区域内。
|
| 关 键 词： | Stein流形 强拟凸域 非光滑边界 Э-方程 一致估计 |
Uniform Estimate of Solution of on the Strictly Pseudoconvex Domain with Non-smooth Boundary On Stein Manifolds |
| |
| CHEN Te-qing,XU Jin-ping.Uniform Estimate of Solution of on the Strictly Pseudoconvex Domain with Non-smooth Boundary On Stein Manifolds[J].Journal of Quanzhou Normal College,2014(6):79-85. |
| |
| Authors: | CHEN Te-qing XU Jin-ping |
| |
| Institution: | (Dept. of Information Management, Minnan University of Science and Technology,Fujian 362700,China) |
| |
| Abstract: | In this paper,the authors by means of the method of Range and Siu,give the uniform esti-mate of solution of Э- equationЭg=f with parameter m on strictly pseudoconvex domain with non-smooth boundary on Stein Manifolds.The result shows that the norm of the solution g can be con-trolled by the norm of f .During the uniform estimate,it doesn’t involve integral on boundary,so we can avoid complex estimates of boundary integrals and moreover the density of integral is not necessa-rily defined on boundary but only in the domain. |
| |
| Keywords: | Stein Manifold strictly pseudoconvex domain non-smooth boundary estimate uniform estimate |
| 本文献已被 维普 等数据库收录！ |
